Answer
The distance between the points (-5, 7) and (4, -2) are 9√2 = 12.73 units.
Step-by-step Explanation
The question wants us to find the distance between two points with coordinates (-5, 7) and (4, -2).
To find the distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
For this question,
x₂ = 4
x₁ = -5
y₂ = -2
y₁ = 7
So, the distance between (-5, 7) and (4, -2).
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 - (-5))² + (-2 - 7)²]
d = √[(4 + 5)² + (-2 - 7)²]
d = √[(9)² + (-9)]
d = √(81 + 81)
d = √(162)
d = 9√2 = 12.73 units.
Hope this Helps!!!
